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15
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Serre relations in PBW basis.

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#linear-algebra #abstract-algebra #lie-algebras
52
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Isomorphism of $\mathfrak{gl}_n(K)/\mathfrak{sl}_n(K)$ to $K$.

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#abstract-algebra #lie-algebras #trace #semisimple-lie-algebras
59
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How does a linear operator having constant eigenvalues imply integrability of its eigenvector distribution?

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#linear-algebra #differential-geometry #lie-algebras
81
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How to go about determining the number of constraints from a matrix equation?

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#linear-algebra #lie-groups #lie-algebras
463
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Show that $\mathfrak{so}(4)\cong \mathfrak{so}(3)\oplus \mathfrak{so}(3)$

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#lie-groups #lie-algebras #exceptional-isomorphisms
28
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Kkilling form $\kappa(t_\alpha , t_\alpha ) \neq 0$ for a root $\alpha$ of semisimple lie algebra $L$

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#lie-algebras #semisimple-lie-algebras
48
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One-dimensional isotropy group in a two-torus

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#differential-geometry #manifolds #lie-groups #lie-algebras
724
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Prove or disprove $\exp(AB)=\exp(BA)$ where $A$ and $B$ are square matrices

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#linear-algebra #matrices #lie-algebras #matrix-calculus #matrix-exponential
253
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Abstract Jordan decomposition maybe not exist

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#lie-algebras
127
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Logarithm of this SL(2,R) matrix not in sl(2,C)

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#complex-analysis #lie-algebras
255
Views

Splitting of Lie algebra extensions: why does this linear map exist?

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#linear-algebra #lie-algebras #exact-sequence
38
Views

Representation matrices for transformed structure constants

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#representation-theory #lie-algebras
155
Views

Fundamental Theorem on Lie Algebra Actions

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#differential-geometry #manifolds #differential-topology #lie-groups #lie-algebras
212
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Section $G:\mathbb{D}\longrightarrow \text{SU}(1,1)$?

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#group-theory #geometry #differential-geometry #lie-groups #lie-algebras
115
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Faithfulness of an induced representation of a Lie algebra

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#representation-theory #lie-groups #lie-algebras

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